instruction_seed stringlengths 16 5.02k | source stringclasses 1
value | embeddings listlengths 1.02k 1.02k | mean_positive_score float64 0.7 0.87 | mean_negative_score float64 0.73 0.87 | difference_score float64 -0.05 0.04 |
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Cora started reading a 158-page book on Monday, and she decided she wanted to finish it by the end of Friday. She read 23 pages on Monday, 38 pages on Tuesday, and 61 pages on Wednesday. She knows she will have time to read twice as much on Friday as she does on Thursday. How many pages does she have to read on Thursda... | tiger_lab_math | [
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The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Answer Choices: (A) 75 kg (B) 85 kg (C) 95 kg (D) 65 kg (E) None of these | tiger_lab_math | [
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"statement 1": Jim runs at 6 miles per hour , and Cara runs at 5 miles per hour, "statement 2" :Jim runs at less than 6 miles per hour , and Cara runs at 5 miles per hour, "options: " Entailment or contradiction or neutral? Let's write a Python program. | tiger_lab_math | [
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Matt orders 15 pounds of beef. He cuts that into 12-ounce steaks. How many steaks does he get? Please write a program to solve it | tiger_lab_math | [
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Mark plants some strawberries in his backyard. Every month, the number of strawberry plants doubles. After 3 months, Mark digs up 4 strawberry plants and gives them to his friend. If he still has 20 strawberry plants, how many did he initially plant? | tiger_lab_math | [
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The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
Answer Choices: (A) 2/3 (B) 4/5 (C) 4/8 (D) 9/2 (E) 3/7 | tiger_lab_math | [
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Facebook decided to award a productivity bonus to all its female employees who are mothers. This productivity bonus will total 25% of Facebook's annual earnings, which was $5,000,000 for the year 2020. It is known that Facebook employs 3300 employees; one-third are men, and of the women, 1200 are not mothers. How much ... | tiger_lab_math | [
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Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Answer Choices: (A) 58 (B) 72 (C) 78 (D) 88 (E) 312 | tiger_lab_math | [
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Given the periodic function $f(x) = \begin{cases} -x, & -\pi < x < 0 \\ x, & 0 \leq x < \pi \end{cases}$ of period $2\pi$, determine if the Fourier series of $f(x)$ converges at $x = \frac{\pi}{2}$. | tiger_lab_math | [
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if x is an integer such that 5 < x < 21 , 7 < x < 18 , 13 > x > 2 , 12 > x > 9 , and x + 1 < 13 , then x is ? Please respond by writing a program in Python. | tiger_lab_math | [
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90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 60 % of the total school population of x students , what is x ? Please respond by writing a program in Python. | tiger_lab_math | [
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a searchlight on top of the watchtower makes 4 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds ? Let's write a Python program to solve it. | tiger_lab_math | [
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dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ? Let's write a Python program to solve it. | tiger_lab_math | [
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A train leaves Mumabai at 9 am at a speed of 30 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 60 kmph. When and at what distance from Mumbai do the two trains meet?
Answer Choices: (A) 27 (B) 279 (C) 60 (D) 278 (E) 379 | tiger_lab_math | [
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In the arithmetic sequence $17, a, b, c, 41$, what is the value of $b$? Let's write a Python program. | tiger_lab_math | [
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Consider the conformal map $w(z)=\frac{1}{z}$ which maps the unit circle in the $z$-plane to another curve in the $w$-plane. Find the equation of the image curve in the $w$-plane under this map. | tiger_lab_math | [
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... | 0.825881 | 0.813186 | 0.012695 |
A die is drawed, find the probability that an odd number is draw?
Answer Choices: (A) 1/2 (B) 2/4 (C) 3/2 (D) 1/5 (E) 2/5 | tiger_lab_math | [
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0.020979391410946846,
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-0... | 0.807511 | 0.831834 | -0.024323 |
Frank went to a shop to buy some food for his breakfast. He bought 10 buns for $0.1 each, two bottles of milk, for $2 each, and a carton of eggs, which was three times more expensive than one bottle of milk. How much did Frank pay for his breakfast shopping? | tiger_lab_math | [
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Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.
Answer Choices: (A) 4.6 (B) 4.9 (C) 4.2 (D) 1.4 (E) 3.5 Please write a program to solve it | tiger_lab_math | [
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0.03257879242300987,
0.023626314476132393,
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-0.022... | 0.815567 | 0.836766 | -0.021199 |
A coin is tossed 4 times. What is the probability t that the number of Heads is equal to the number of Tails?
Answer Choices: (A) 1/8 (B) 1/4 (C) 3/8 (D) 1/2 (E) 9/16 | tiger_lab_math | [
0.021732905879616737,
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0.020671017467975616,
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-... | 0.814955 | 0.834702 | -0.019747 |
The numbers 2, 3, 5, 7, 11, 13 are arranged in a multiplication table, with three along the top and the other three down the left. The multiplication table is completed and the sum of the nine entries is tabulated. What is the largest possible sum of the nine entries?
\[
\begin{array}{c||c|c|c|}
\times & a & b & c \... | tiger_lab_math | [
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0.02573498710989952,
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0.008953631855547428,
0.03988925740122795,
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-0.014... | 0.829649 | 0.82088 | 0.00877 |
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Answer Choices: (A) Rs.578 (B) Rs.125 (C) Rs.640 (D) Rs.220 (E) Rs.300 | tiger_lab_math | [
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0.015649866312742233,
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0.006... | 0.800828 | 0.824059 | -0.023231 |
How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m
Answer Choices: (A) 6100 (B) 6200 (C) 6300 (D) 6400 (E) None of these | tiger_lab_math | [
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0.040994659066200256,
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-0.02... | 0.797265 | 0.825141 | -0.027876 |
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 13 km/hr and 23 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer Choices: (A) 28 sec (B) 30 sec (C) 17 sec (D) 23 sec (E) 27 sec | tiger_lab_math | [
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William is a jockey. He can ride his horse for 6 hours a day. Over 6 days, he only used the maximum riding time twice. On two days he rode his horse for only 1.5 hours a day and half the maximum time for the next two days. How many hours did William ride his horse during those 6 days? | tiger_lab_math | [
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0.04199366644024849,
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-... | 0.778446 | 0.797328 | -0.018882 |
How much water must be added to 48 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Answer Choices: (A) 10 litres (B) 12 litres (C) 15 litres (D) 18 litres (E) None of these | tiger_lab_math | [
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-0... | 0.787402 | 0.817858 | -0.030455 |
A code is to be made by arranging 8 letters. four of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible... | tiger_lab_math | [
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0.008699052967131138,
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0.03886828199028969,
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0.017229866236448288,
0.03891608119010925,
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-0.... | 0.803546 | 0.824156 | -0.02061 |
A reading list for a certain course consists of 10 books, of which 5 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
Answer Choices: (A) 90 (B) 115 (C) 130 (D) 144 (E) 155 | tiger_lab_math | [
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-0.026... | 0.799023 | 0.810329 | -0.011307 |
Heaven and her younger brother want to buy school supplies, so they ask their father for money, who gives them $100 in total to use. Heaven buys two sharpeners and four notebooks at $5 each, and her brother uses the remaining amount to buy ten erasers at $4 each and some highlighters. How much money did Heaven's brothe... | tiger_lab_math | [
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0.006060486659407616,
0.031869471073150635,
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-0.036... | 0.791794 | 0.798249 | -0.006455 |
Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win? | tiger_lab_math | [
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0.020460907369852066,
0.050807513296604156,
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-... | 0.790838 | 0.805409 | -0.01457 |
Consider the surface formed by rotating the curve $y=x^2$ about the $x$-axis. Determine the geodesics that pass through the point $(1,1,0)$ and whose tangent vector at that point makes an angle of $\pi/4$ with the $x$-axis. | tiger_lab_math | [
-0.001408591982908547,
0.04601011425256729,
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0.04130575433373451,
-0.02253752388060093,
-0.025793924927711487,
0.06135006994009018,
0.03644810989499092,
0.0026370452251285315,
0.003974126651883125,
0.021964745596051216,
-0.021058063954114914,
-0.... | 0.841366 | 0.817024 | 0.024341 |
A vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
Answer Choices: (A) 40 (B) 42 (C) 44 (D) 46 (E) 48 | tiger_lab_math | [
0.016003824770450592,
0.0033440173137933016,
-0.03669806197285652,
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0.03831234574317932,
-0.04171611741185188,
-0.011345270089805126,
0.07368708401918411,
0.03943181037902832,
-0.01580999232828617,
0.012184010818600655,
0.04299018159508705,
-0.05057419091463089,
-0.01... | 0.802812 | 0.832153 | -0.029341 |
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Answer Choices: (A) 8/35 (B) 34/35 (C) 27/35 (D) 30/35 (E) None of these | tiger_lab_math | [
0.01716284640133381,
0.021487463265657425,
-0.04718736559152603,
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0.03218849375844002,
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0.045228250324726105,
0.03743617609143257,
-0.006695235148072243,
0.019206183031201363,
0.01846778579056263,
0.0018429320771247149,
-0.01... | 0.800349 | 0.82136 | -0.021011 |
The length of the longer side of rectangle $R$ is $10$ percent more than the length of a side of square $S.$ The length of the shorter side of rectangle $R$ is $10$ percent less than the length of a side of square $S.$ What is the ratio of the area of rectangle $R$ to the area of square $S?$ Express your answer as a co... | tiger_lab_math | [
0.013441693969070911,
0.018856694921851158,
-0.05987972766160965,
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0.016056066378951073,
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0.07354069501161575,
0.0463496595621109,
-0.000204465861315839,
0.02269255742430687,
0.030529391020536423,
-0.05489160493016243,
-0.00... | 0.819204 | 0.814341 | 0.004864 |
having received his weekly allowance , a student spent 2 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 1.20 at the candy store . what is this student ’ s weekly allowance ? Let's write a program. | tiger_lab_math | [
0.018504012376070023,
0.01625695638358593,
-0.034550633281469345,
-0.031256236135959625,
0.03763378784060478,
-0.028321145102381706,
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0.05268833041191101,
0.031109251081943512,
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0.04930921643972397,
0.02454969473183155,
-0.03174249455332756,
-0.01... | 0.806492 | 0.815314 | -0.008822 |
The distance between two cities on a map is 15 inches. If the scale is 0.25 inches = 3 miles, how many miles apart are the actual cities? | tiger_lab_math | [
0.03104075975716114,
0.02830425463616848,
-0.040577616542577744,
-0.04885389655828476,
0.044234927743673325,
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0.043611280620098114,
0.022098727524280548,
-0.0385044626891613,
0.02410951256752014,
0.044508032500743866,
-0.025413548573851585,
-0.035... | 0.80122 | 0.825885 | -0.024665 |
The sum of three consecutive odd natural numbers, each divisible by 3 is 66. What is the largest among them?
Answer Choices: (A) 21 (B) 24 (C) 25 (D) 36 (E) 57 | tiger_lab_math | [
0.028728146106004715,
0.007158935070037842,
-0.014357827603816986,
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0.04927480220794678,
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0.04662419855594635,
0.03481900319457054,
-0.012725860811769962,
0.0386674590408802,
0.03354154899716377,
-0.057037778198719025,
-0.033... | 0.820435 | 0.841985 | -0.021551 |
At a certain car dealership, 15% of the cars cost less than $15000 and 40% of the cars cost more than $20000. If there are 3000 cars at the dealership, how many of them cost between $15000 and $20000? | tiger_lab_math | [
0.010544393211603165,
0.000825637427624315,
-0.05559391900897026,
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0.03726322203874588,
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0.046570759266614914,
0.035690441727638245,
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0.028355438262224197,
0.0357370525598526,
-0.030473293736577034,
-... | 0.810839 | 0.823174 | -0.012335 |
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Answer Choices: (A) 86 (B) 20 (C) 78 (D) 27 (E) 28 Let's write a Python program to solve it. | tiger_lab_math | [
0.015018461272120476,
0.00888351071625948,
-0.040858134627342224,
-0.027477098628878593,
0.046224359422922134,
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0.059348080307245255,
0.048238299787044525,
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0.023999877274036407,
0.04182612523436546,
-0.04745827615261078,
-0... | 0.802313 | 0.82914 | -0.026827 |
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7 | tiger_lab_math | [
0.02387147955596447,
0.005777459591627121,
-0.02638009935617447,
-0.04122171550989151,
0.059370655566453934,
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0.04635317251086235,
0.03847474977374077,
-0.016361869871616364,
0.0238339826464653,
0.04586038738489151,
-0.049637991935014725,
-0.0355... | 0.821286 | 0.847936 | -0.02665 |
A can do a work in 24 days and B can do it in 12 days. In how many days A and B can do the work?
Answer Choices: (A) 20 days (B) 10 days (C) 6 days (D) 5 days (E) 8 days Let's write a Python program. | tiger_lab_math | [
0.024576539173722267,
0.028856709599494934,
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0.03941190987825394,
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0.06066356971859932,
0.04870063439011574,
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0.009443465620279312,
0.05255798622965813,
0.0030958070419728756,
-0.01... | 0.785841 | 0.811578 | -0.025737 |
Find the smallest three-digit palindrome whose product with 101 is not a five-digit palindrome. Let's program in Python in the response. | tiger_lab_math | [
-0.004261230584233999,
0.0037690631579607725,
-0.026027120649814606,
-0.041001711040735245,
0.03858537599444389,
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0.05625688657164574,
0.02995048463344574,
-0.016190527006983757,
0.032677873969078064,
0.030455805361270905,
-0.02562042698264122,
-0.... | 0.811159 | 0.826116 | -0.014957 |
Compute the multiplicative inverse of $201$ modulo $299$. Express your answer as an integer from $0$ to $298$. Let's write a Python program. | tiger_lab_math | [
-0.004066197667270899,
0.015149018727242947,
-0.02851931005716324,
-0.03509891778230667,
0.03169196844100952,
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0.05244389548897743,
0.05385866016149521,
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0.0259134229272604,
0.04398099705576897,
-0.04395221173763275,
0.00814... | 0.813636 | 0.827636 | -0.014 |
Roxy has 7 flowering plants in her garden. She has twice as many fruiting plants as her flowering plants. On Saturday, she goes to the nursery and buys 3 flowering plants and 2 fruiting plants. On Sunday, she gives away 1 flowering plant and 4 fruiting plants to her neighbor, Ronny. How many plants are remaining in... | tiger_lab_math | [
0.01777976006269455,
0.016231536865234375,
-0.04534251242876053,
-0.032034002244472504,
0.02299683168530464,
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0.05087282881140709,
0.04074849933385849,
-0.014742212370038033,
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0.034428954124450684,
-0.04619021341204643,
-0.... | 0.799994 | 0.806938 | -0.006944 |
Consider a random variable X with a normal distribution with a mean of 50 and a standard deviation of 10. You want to make an inference about X based on a sample of size 25. Find the probability that the sample mean exceeds 55 using Bayesian statistics. Assume a prior normal distribution with a mean of 52 and a standar... | tiger_lab_math | [
0.006632388569414616,
-0.01187013927847147,
-0.05252854898571968,
-0.044823843985795975,
0.03598260506987572,
-0.02652078866958618,
-0.019994989037513733,
0.0681396946310997,
0.0371127612888813,
-0.0014098656829446554,
0.0057795243337750435,
0.028051340952515602,
-0.041953448206186295,
0.0... | 0.792033 | 0.793524 | -0.001491 |
if a number p is prime , and 2 p + 4 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? Please write a program to solve it | tiger_lab_math | [
0.02815593034029007,
0.013683903031051159,
-0.031270578503608704,
-0.040438562631607056,
0.05112588033080101,
-0.03551502898335457,
-0.010410997085273266,
0.07585842907428741,
0.03696313127875328,
-0.015393638052046299,
0.0278420802205801,
0.029169408604502678,
-0.03120693378150463,
-0.039... | 0.827149 | 0.837138 | -0.009989 |
If 20 liters of chemical X are added to 80 liters of a mixture that is 25% chemical X and 75% chemical Y, then what percentage of the resulting mixture is chemical X?
Answer Choices: (A) 28% (B) 32% (C) 36% (D) 40% (E) 44% | tiger_lab_math | [
-0.0025254113133996725,
0.0020101801492273808,
-0.007643348537385464,
-0.04314727336168289,
0.03022628277540207,
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-0.0191300380975008,
0.06623587012290955,
0.04974749684333801,
-0.0009242126834578812,
0.014905022457242012,
0.045435093343257904,
-0.054184939712285995,
... | 0.786125 | 0.821402 | -0.035277 |
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?... | tiger_lab_math | [
0.004731885623186827,
0.009345503523945808,
-0.02264096960425377,
-0.02854260616004467,
0.03763763979077339,
-0.04641534388065338,
-0.02533513493835926,
0.05632416531443596,
0.04925772547721863,
-0.01968793012201786,
0.0267287977039814,
0.03632817789912224,
-0.03838235139846802,
-0.0109056... | 0.801059 | 0.824668 | -0.023608 |
12, 34, 10, 11, 12, 5, 6 ,7, 13, 14, ?, ?
Logically, what two numbers should replace the question marks?
Answer Choices: (A) 13 and 11 (B) 15 and 11 (C) 19 and 11 (D) 18 and 11 (E) 17 and 11 | tiger_lab_math | [
0.04397965222597122,
0.010013282299041748,
-0.022543475031852722,
-0.04814990982413292,
0.057798322290182114,
-0.040123261511325836,
-0.02698427625000477,
0.04280665144324303,
0.022104226052761078,
-0.021539200097322464,
0.013570882380008698,
0.044662851840257645,
-0.04688898101449013,
-0.... | 0.819223 | 0.842494 | -0.02327 |
A small company reduced its faculty by approximately 14 percent to 195 employees. What was the original number of employees?
Answer Choices: (A) A) 182 (B) B) 227 (C) C) 220 (D) D) 224 (E) E) 302 | tiger_lab_math | [
-0.0011011563474312425,
0.028041452169418335,
-0.03198657184839249,
-0.03676128014922142,
0.04952223598957062,
-0.029886290431022644,
-0.03568707033991814,
0.05440233647823334,
0.06197105720639229,
0.010262986645102501,
0.03516726195812225,
0.009286708198487759,
-0.023628205060958862,
-0.0... | 0.790526 | 0.825535 | -0.035009 |
Given the plain text "HELLO WORLD" and a rail fence key of 3, encrypt the message using the Rail fence cipher technique. | tiger_lab_math | [
0.034616619348526,
0.043215736746788025,
0.0050271679647266865,
-0.0484180822968483,
0.03768770396709442,
-0.04513033851981163,
-0.03575930371880531,
0.05782395973801613,
0.024849973618984222,
-0.03414549306035042,
0.032628510147333145,
0.009207013063132763,
-0.012680884450674057,
-0.02428... | 0.780071 | 0.786614 | -0.006543 |
In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
Answer Choices: (A) 1540 (B) 2314 (C) 5420 (D) 1240 (E) 4512 | tiger_lab_math | [
0.026905294507741928,
-0.006409104913473129,
-0.018357962369918823,
-0.03669343888759613,
0.025182995945215225,
-0.03906679525971413,
-0.02142726629972458,
0.05037305876612663,
0.03479113429784775,
-0.022240199148654938,
0.008853930048644543,
0.0376751609146595,
-0.03822804242372513,
-0.01... | 0.806326 | 0.827774 | -0.021448 |
Phill had some friends over for pizza. He opens the pizza box and discovers it hasn't been sliced. Phill cuts the pizza in half, and then cuts both halves in half, and then cuts each slice in half again. Phill then passes out 1 slice to 3 of his friends and 2 slices to 2 of his friends. How many slices of pizza are... | tiger_lab_math | [
-0.003384851850569248,
0.015671953558921814,
-0.028533710166811943,
-0.0321122445166111,
0.025828767567873,
-0.007599278353154659,
-0.017187075689435005,
0.04188003018498421,
0.01791185326874256,
-0.023784371092915535,
0.03258606791496277,
0.034001171588897705,
-0.036179982125759125,
-0.01... | 0.818185 | 0.819553 | -0.001368 |
Caroline has 40 pairs of socks. She loses 4 pairs of socks at the laundromat. Of the remaining pairs of socks, she donates two-thirds to the thrift store. Then she purchases 10 new pairs of socks, and she receives 3 new pairs of socks as a gift from her dad. How many pairs of socks does Caroline have in total? Please r... | tiger_lab_math | [
-0.00808610301464796,
0.022065885365009308,
-0.06135669723153114,
-0.030972179025411606,
0.04133353382349014,
-0.029376808553934097,
-0.031083805486559868,
0.04906703904271126,
0.006802602205425501,
-0.023253366351127625,
0.027487589046359062,
0.036900706589221954,
-0.03568298742175102,
-0... | 0.800188 | 0.815041 | -0.014853 |
Consider the function f(x) = x^4 - 8x^3 + 18x^2 - 24x + 10. Use quasi-Newton methods to find the global minimum value of f(x) on the interval [0,4]. Provide your solution accurate to two decimal places. | tiger_lab_math | [
0.02086503803730011,
0.030038265511393547,
-0.039072420448064804,
-0.03901713341474533,
0.03358583152294159,
-0.04512087628245354,
-0.028829190880060196,
0.06364038586616516,
0.037593793123960495,
0.0019995104521512985,
0.008851387538015842,
0.020326800644397736,
-0.023526610806584358,
-0.... | 0.822794 | 0.826506 | -0.003712 |
If the length of the first iteration of the Sierpinski arrowhead curve is 4, what is the total length of the curve after the sixth iteration? | tiger_lab_math | [
-0.001131116528995335,
0.01368787046521902,
-0.02215595729649067,
-0.047247812151908875,
0.050215356051921844,
-0.02977946773171425,
-0.03656233102083206,
0.04094155877828598,
0.037537455558776855,
-0.045895207673311234,
0.010534480214118958,
-0.0005598238203674555,
-0.013910124078392982,
... | 0.805136 | 0.826746 | -0.02161 |
Consider an auction in which bidders have private values for an item being auctioned. The value ci of bidder i's private value for the item is drawn from a uniform distribution between 0 and 100 independently for each bidder. The mechanism is such that the highest bidder wins and pays his bid. However, if there is a ti... | tiger_lab_math | [
0.008339510299265385,
-0.001050379709340632,
-0.051229141652584076,
-0.0071180411614477634,
0.03719130903482437,
-0.00027432217029854655,
-0.026859760284423828,
0.052704568952322006,
0.03441711142659187,
-0.004836100619286299,
0.02242668718099594,
0.041016701608896255,
-0.040732305496931076,... | 0.806574 | 0.791992 | 0.014582 |
A math student needs to determine the equation of an elliptic curve defined by the point (0, 1) and the tangent line at that point passing through (2,3) in the field of real numbers. | tiger_lab_math | [
0.01022362895309925,
0.035331353545188904,
-0.046278875321149826,
-0.05764706805348396,
0.03971269726753235,
-0.02462678775191307,
-0.02187199890613556,
0.050558991730213165,
0.02145407535135746,
-0.025126773864030838,
0.0009148942772299051,
0.03102862648665905,
-0.030323131009936333,
-0.0... | 0.82973 | 0.813898 | 0.015832 |
If (y - 1)(z - 9) +15(z - 9) = 0, then which of the following must be true?
Answer Choices: (A) y = -4 and z = -3 (B) y = -4 or z = -3 (C) y = -4 or z = 9 (D) y = 1 and z = 3 (E) y = 1 or z = 3 | tiger_lab_math | [
0.02330143377184868,
0.014609473757445812,
-0.028574783354997635,
-0.052005328238010406,
0.06050462648272514,
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-0.008070774376392365,
0.06569495052099228,
0.017283884808421135,
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0.017471617087721825,
0.03944350779056549,
-0.03787459433078766,
-0.0... | 0.820732 | 0.844142 | -0.023409 |
"statement 1": Renu can do a piece of work in more than 4 days , but with the help of her friend Suma , she can do it in 4 days, "statement 2" :Renu can do a piece of work in 8 days , but with the help of her friend Suma , she can do it in 4 days, "options: " Entailment or contradiction or neutral? Let's write a Pytho... | tiger_lab_math | [
0.02753162384033203,
0.00808829627931118,
-0.02278677001595497,
-0.033973272889852524,
0.03832140937447548,
-0.0273080263286829,
-0.030842047184705734,
0.07894875109195709,
0.03338867425918579,
-0.007882850244641304,
0.008923562243580818,
0.04985814169049263,
-0.015693793073296547,
-0.0038... | 0.800175 | 0.807428 | -0.007253 |
The average age of 16 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 12th student is
Answer Choices: (A) 11 (B) 66 (C) 18 (D) 16 (E) 42 | tiger_lab_math | [
0.03577917441725731,
-0.0030207436066120863,
-0.030233444646000862,
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0.061214324086904526,
-0.05476045608520508,
-0.04892432689666748,
0.05369122698903084,
0.03874518722295761,
-0.01662934571504593,
0.04241500049829483,
0.02349691465497017,
-0.03379256650805473,
-0.005... | 0.785252 | 0.813266 | -0.028014 |
a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ? Please write a program to solve it | tiger_lab_math | [
0.030928341671824455,
0.03662675991654396,
-0.025607075542211533,
-0.029959004372358322,
0.022566091269254684,
-0.037998784333467484,
-0.04646526649594307,
0.05656586214900017,
0.037987980991601944,
-0.003485686844214797,
0.006640839856117964,
0.03861089050769806,
-0.013327449560165405,
-0... | 0.809655 | 0.825032 | -0.015377 |
Points $P$ and $R$ are located at (2, 1) and (12, 15) respectively. Point $M$ is the midpoint of segment $\overline{PR}$. Segment $\overline{PR}$ is reflected over the $x$-axis. What is the sum of the coordinates of the image of point $M$ (the midpoint of the reflected segment)? Let's program in Python in the response. | tiger_lab_math | [
0.014233304187655449,
0.023032171651721,
-0.055462129414081573,
-0.043589357286691666,
0.04641716927289963,
-0.009992663748562336,
-0.01962912082672119,
0.05496525019407272,
0.03738543763756752,
-0.005089472513645887,
0.017030730843544006,
0.033869631588459015,
-0.025587888434529305,
-0.02... | 0.83221 | 0.827605 | 0.004606 |
If p^2 – 13p + 40 = l, and p is a positive integer between 1 and 10, inclusive, what is the probability that l < 0?
Answer Choices: (A) 1/10 (B) 1/5 (C) 2/5 (D) 3/5 (E) 3/10 | tiger_lab_math | [
0.009351540356874466,
0.015416981652379036,
-0.01849067397415638,
-0.028104830533266068,
0.04675869271159172,
-0.03494201600551605,
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0.05173160508275032,
0.03564947843551636,
-0.011671825312077999,
0.007011719513684511,
0.03598576784133911,
-0.038451191037893295,
-0.0... | 0.823898 | 0.845548 | -0.02165 |
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Answer Choices: (A) 720 ways (B) 735 ways (C) 767 ways (D) 723 ways (E) 730 ways Let's write a Python program to solve it. | tiger_lab_math | [
0.021226540207862854,
0.030940119177103043,
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0.029259435832500458,
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-0.04585647210478783,
0.030340982601046562,
0.02889041230082512,
-0.0052935658022761345,
0.00848845113068819,
0.02443624846637249,
-0.019894301891326904,
-0... | 0.803376 | 0.818728 | -0.015351 |
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Answer Choices: (A) 38 (B) 42 (C) 28 (D) 25 (E) 12 | tiger_lab_math | [
0.03686677664518356,
0.03274862840771675,
-0.033530816435813904,
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0.029035307466983795,
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0.06490680575370789,
0.027712102979421616,
0.004494698252528906,
0.012506429105997086,
0.0375693216919899,
-0.02122701331973076,
-0.017... | 0.803636 | 0.828231 | -0.024595 |
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answer Choices: (A) 5 (B) 7 (C) 8 (D) 9 (E) 10 | tiger_lab_math | [
0.014891687780618668,
0.00942102912813425,
-0.016870228573679924,
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0.04404199495911598,
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-0.03919212147593498,
0.043353088200092316,
0.02435705065727234,
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0.003913192544132471,
0.03167325630784035,
-0.03836935758590698,
-0.00... | 0.79815 | 0.814391 | -0.016242 |
What is the value of the real constant 'c' in the complex plane for which the Julia set of the polynomial z^2 + c is a circle with a radius of 2? | tiger_lab_math | [
-0.012415925040841103,
0.04901212081313133,
-0.052613817155361176,
-0.032312553375959396,
0.011237703263759613,
-0.01662006787955761,
-0.01840091310441494,
0.041904516518116,
0.037196893244981766,
-0.024766864255070686,
0.008741850964725018,
0.04389670491218567,
-0.02154948189854622,
-0.00... | 0.817857 | 0.822397 | -0.00454 |
If the given two numbers are respectively 5% and 25% of a third number, then what percentage is the first of the second ?
Answer Choices: (A) 20% (B) 25% (C) 18% (D) 30% (E) none of these | tiger_lab_math | [
0.035644832998514175,
0.0005791957955807447,
-0.03506811708211899,
-0.04243651404976845,
0.043265946209430695,
-0.03404584154486656,
0.005926535464823246,
0.06272431463003159,
0.04106662794947624,
-0.012617972679436207,
0.021861203014850616,
0.02996131032705307,
-0.03890848159790039,
-0.02... | 0.798215 | 0.826616 | -0.028401 |
Lolita can drink 3 boxes of milk during weekdays. During Saturdays, she can drink twice the number of boxes of milk than on the weekdays, and during Sundays, she can drink thrice the number of boxes of milk than on the weekdays. How many boxes of milk does she drink per week? | tiger_lab_math | [
0.021201470866799355,
0.016505947336554527,
-0.036017198115587234,
-0.014055452309548855,
0.02557298168540001,
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0.06732942909002304,
0.025596756488084793,
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0.0069967941381037235,
0.020128410309553146,
-0.053320448845624924,
-... | 0.788594 | 0.795385 | -0.00679 |
Is a given rectangular block, a cube?
I. At least 2 faces of the rectangular block are squares.
II. The volume of the block is 64.
Answer Choices: (A) I alone sufficient while II alone not sufficient to answer (B) II alone sufficient while I alone not sufficient to answer (C) Either I or II alone sufficient to answer (... | tiger_lab_math | [
0.03566589951515198,
0.03810273855924606,
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0.027916133403778076,
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0.06695321947336197,
0.029652977362275124,
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0.030101509764790535,
0.024388853460550308,
-0.01678026095032692,
-0.00... | 0.817653 | 0.819805 | -0.002152 |
Consider the matrix A = [3 2; 2 4]. Use power iteration method to find the dominant eigenvalue and corresponding eigenvector of the matrix A. Start with an initial guess of [1; 1]. Repeat the iteration until the result converges to at least 4 decimal places. | tiger_lab_math | [
0.03290310874581337,
0.027926985174417496,
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0.04781826585531235,
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0.065721794962883,
0.03753216192126274,
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0.013841696083545685,
0.028250323608517647,
-0.037992924451828,
-0.0059... | 0.808556 | 0.807128 | 0.001428 |
One out of five employees are capable of doing a certain task. 80 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Answer Choices: (A) 43.33% (B) 33.33% (C) 13.33% (D) 75% (E) 23.33% | tiger_lab_math | [
0.015364611521363258,
0.018147358670830727,
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0.056285958737134933,
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0.060561418533325195,
0.052195481956005096,
0.007656055968254805,
0.00883443746715784,
0.032656554132699966,
-0.0176681075245142,
-0.... | 0.790659 | 0.813077 | -0.022418 |
Calculate molecular weight of Aluminum phosphate Let's write a program. | tiger_lab_math | [
0.030922655016183853,
0.024645939469337463,
-0.011750278063118458,
-0.033634256571531296,
0.036515798419713974,
-0.06215716898441315,
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0.05507078394293785,
0.06452830880880356,
-0.02444191835820675,
0.01469325553625822,
0.029586508870124817,
-0.020951151847839355,
-0.... | 0.777961 | 0.800022 | -0.022061 |
For polynomial $P(x)=1-\dfrac{1}{3}x+\dfrac{1}{6}x^{2}$, define
\[Q(x)=P(x)P(x^{3})P(x^{5})P(x^{7})P(x^{9})=\sum_{i=0}^{50} a_ix^{i}.\]Find $\sum_{i=0}^{50} |a_i|.$ Let's program in Python in the response. | tiger_lab_math | [
0.016862977296113968,
0.030037084594368935,
-0.05031701177358627,
-0.0315706692636013,
0.03909176588058472,
-0.03943454474210739,
0.00020678379223681986,
0.054477035999298096,
0.024032458662986755,
-0.011536965146660805,
0.024760376662015915,
0.028491299599409103,
-0.026296058669686317,
-0... | 0.835662 | 0.824914 | 0.010748 |
A rectangle has a length of 8 cm and a width of 5 cm. What is the perimeter of the rectangle? | tiger_lab_math | [
0.009366248734295368,
0.036493826657533646,
-0.03309888765215874,
-0.04867503419518471,
0.02943030744791031,
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0.052666544914245605,
0.04775073379278183,
-0.026794172823429108,
0.0013870919356122613,
0.03536754101514816,
-0.02035587839782238,
-0.... | 0.793586 | 0.812652 | -0.019066 |
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 0, what is the value of x?
Answer Choices: (A) -4 and 0 (B) -2 (C) 2 (D) 4 (E) Cannot be determined. | tiger_lab_math | [
0.03747772052884102,
0.033421486616134644,
-0.030015941709280014,
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0.058666545897722244,
-0.010851756669580936,
-0.017138822004199028,
0.07414907962083817,
0.05668662115931511,
-0.012741358950734138,
0.007082154043018818,
0.03841995820403099,
-0.0415843240916729,
-0.0... | 0.809417 | 0.832461 | -0.023044 |
There are 14 girls, 11 boys, and their parents at a park. If they split into 3 equally sized playgroups, each group contains 25 people. How many parents were at the park? | tiger_lab_math | [
0.03339419513940811,
0.016664007678627968,
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0.047184400260448456,
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0.03376566618680954,
0.040061432868242264,
-0.007625814061611891,
0.006299350876361132,
0.03000963106751442,
-0.04168737679719925,
-0.04... | 0.802181 | 0.818517 | -0.016336 |
A toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Answer Choices: (A) 1/4 (B) 1/2 (C) 2/3 (D) 2 (E) 4 | tiger_lab_math | [
0.045981939882040024,
0.013138468377292156,
-0.03879455476999283,
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0.044231392443180084,
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-0.0387888066470623,
0.046221401542425156,
0.028935270383954048,
0.005767402704805136,
0.019979391247034073,
0.018359500914812088,
-0.037875931710004807,
-0.0... | 0.808425 | 0.83208 | -0.023654 |
Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
Answer Choices: (A) 11.... | tiger_lab_math | [
0.019595947116613388,
0.02115144394338131,
-0.012398100458085537,
-0.03982512652873993,
0.05532252788543701,
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0.0786348208785057,
0.04655025899410248,
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0.0230112262070179,
0.007379301358014345,
-0.06101211905479431,
-0.02913... | 0.797341 | 0.818293 | -0.020952 |
On an American flag, the first stripe is red and half of the remaining stripes are also red. Each flag has 13 stripes. John buys 10 flags. How many red stripes are there? | tiger_lab_math | [
0.02552630752325058,
0.015542659908533096,
-0.046323418617248535,
-0.02910396084189415,
0.02926720678806305,
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0.0465296171605587,
0.01448856946080923,
-0.020193619653582573,
0.007008640561252832,
0.023964762687683105,
-0.03666115552186966,
-0.04335... | 0.800265 | 0.81035 | -0.010084 |
what is the smallest integer k for which 64 ^ k > 4 ^ 17 ? Please write a program to solve it | tiger_lab_math | [
0.01749706082046032,
0.04447517171502113,
-0.0240358654409647,
-0.04467805474996567,
0.03716091439127922,
-0.021311428397893906,
-0.009199189022183418,
0.047689806669950485,
0.04997490346431732,
-0.029552185907959938,
0.037405602633953094,
0.031131524592638016,
-0.02072720043361187,
-0.023... | 0.825452 | 0.853615 | -0.028163 |
Consider the system of differential equations:
$\frac{dx}{dt} = 2x + y,$
$\frac{dy}{dt} = 3x + 4y.$
Suppose we want to design a feedback control system to control this system, of the form
$u = -k_1 x - k_2 y.$
If we want to find $k_1$ and $k_2$ such that the closed-loop system is asymptotically stable, what are th... | tiger_lab_math | [
0.008731693960726261,
0.021990276873111725,
-0.06268306821584702,
-0.04701660946011543,
0.045341990888118744,
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0.07512959092855453,
0.042122066020965576,
-0.034335821866989136,
0.017935626208782196,
0.025106465443968773,
-0.02739480510354042,
-0... | 0.835064 | 0.824096 | 0.010968 |
Let f(z) = z^3 / (z-1)^2 be a meromorphic function defined in the complex plane. Find its order, type, and zeros. | tiger_lab_math | [
0.01857047528028488,
0.03698631003499031,
-0.04971940070390701,
-0.05306362360715866,
0.03337642922997475,
-0.00009504771151114255,
-0.006962103769183159,
0.05542413145303726,
0.03343740850687027,
-0.006166093982756138,
0.023127468302845955,
0.03391262888908386,
-0.02172621712088585,
-0.02... | 0.82526 | 0.824391 | 0.000868 |
The average age of a group of persons going for picnic is 16 years. Twelve new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Answer Choices: (A) 5 (B) 10 (C) 12 (D) 40 (E) 50 | tiger_lab_math | [
0.03558162972331047,
-0.0018421242712065578,
-0.02869598940014839,
-0.03506956249475479,
0.04501812160015106,
-0.055180396884679794,
-0.014839360490441322,
0.05620916932821274,
0.04707290977239609,
-0.018638508394360542,
0.022140488028526306,
0.010232586413621902,
-0.038552481681108475,
-0... | 0.790074 | 0.809351 | -0.019276 |
Dhoni bought 5 toys with the average cost of $10. If David also buys the sixth toy with the price of $ 16, what is the average (arithmetic mean) price of those 6 toys?
Answer Choices: (A) $10 (B) $7 (C) $8.5 (D) $9 (E) $11 Let's write a program. | tiger_lab_math | [
0.028286363929510117,
0.0043229213915765285,
-0.047747913748025894,
-0.03852313011884689,
0.03430773690342903,
-0.028557827696204185,
-0.024375218898057938,
0.03256876394152641,
0.029771532863378525,
-0.02839149534702301,
0.026352575048804283,
0.025013070553541183,
-0.05386995151638985,
-0... | 0.795812 | 0.813325 | -0.017513 |
A straight pipe 6 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Answer Choices: (A) 1/6 and 1/4 only (B) 1/4 and 1/3 only (C) 1/6, 1/4,... | tiger_lab_math | [
0.009189111180603504,
0.03723340481519699,
-0.009586500935256481,
-0.018968362361192703,
0.05454587563872337,
-0.04940403625369072,
-0.027633296325802803,
0.05702372267842293,
0.029460484161973,
-0.012553948909044266,
0.021027160808444023,
0.029296858236193657,
-0.0200209841132164,
-0.0305... | 0.81257 | 0.829009 | -0.016438 |
If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Answer Choices: (A) 118 km (B) 162 km (C) 1767 km (D) 432 km (E) 177 km | tiger_lab_math | [
0.027621908113360405,
0.005383166950196028,
-0.01520669274032116,
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0.03262122720479965,
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-0.02827882580459118,
0.05425281077623367,
0.0355655662715435,
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0.024818722158670425,
0.045148465782403946,
-0.022247180342674255,
-0.03... | 0.792451 | 0.824163 | -0.031712 |
A math student needs to find the number of ways to partition a set of 6 objects into subsets of size 2 or 3. | tiger_lab_math | [
0.0371520072221756,
0.012518307194113731,
-0.04146764427423477,
-0.017786242067813873,
0.03687689080834389,
0.0006248426507227123,
-0.04317859932780266,
0.028018545359373093,
0.02651953510940075,
-0.021166937425732613,
0.018803000450134277,
0.03814288228750229,
-0.02625815011560917,
-0.036... | 0.813164 | 0.814002 | -0.000838 |
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Answer Choices: (A) 22277 (B) 29977 (C) 267676 (D) 14000 (E) 18811 | tiger_lab_math | [
0.025616398081183434,
0.03173457831144333,
-0.02280665561556816,
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0.018605567514896393,
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-0.016780763864517212,
0.05205018073320389,
0.031209716573357582,
-0.0026659704744815826,
0.027817759662866592,
0.022825108841061592,
-0.009350942447781563,
... | 0.799739 | 0.825522 | -0.025784 |
"statement 1": Albert borrowed a total of $ 5700 from Brian and Charlie, "statement 2" :Albert borrowed a total of $ 7700 from Brian and Charlie, "options: " Entailment or contradiction or neutral? Let's write a program. | tiger_lab_math | [
0.02547117881476879,
0.013632865622639656,
-0.0406239777803421,
-0.03347430005669594,
0.040843792259693146,
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-0.016584143042564392,
0.058073993772268295,
0.03290937468409538,
-0.03086661733686924,
0.019885221496224403,
0.025869596749544144,
-0.046773891896009445,
-0.00... | 0.792304 | 0.804906 | -0.012602 |
In how many ways letters of the word RSCUPERATE be arranged?
Answer Choices: (A) 357687 (B) 247886 (C) 284757 (D) 456788 (E) 302400 | tiger_lab_math | [
0.014445029199123383,
0.022873932495713234,
0.010959971696138382,
-0.028186911717057228,
0.03876457363367081,
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-0.028616422787308693,
0.029401272535324097,
0.04125218465924263,
-0.025956889614462852,
0.013811031356453896,
0.03563600033521652,
-0.024358613416552544,
-0... | 0.790431 | 0.82685 | -0.036419 |
"statement 1": If the distance between their homes is more than 10 kilometers , Maxwell ' s walking speed is 4 km / h , and Brad ' s running speed is 6 km / h , what is the distance traveled by Brad ?, "statement 2" :If the distance between their homes is 80 kilometers , Maxwell ' s walking speed is 4 km / h , and Bra... | tiger_lab_math | [
0.02722277119755745,
0.014698451384902,
-0.045363590121269226,
-0.036439694464206696,
0.04184197634458542,
-0.029248708859086037,
-0.018176011741161346,
0.0517151840031147,
0.03231421113014221,
-0.03321241959929466,
0.011795846745371819,
0.04861077666282654,
-0.04193887487053871,
-0.014850... | 0.814812 | 0.828075 | -0.013263 |
If Pete read twice as many books as Matt did last year, and this year he doubles that number while Matt reads only 50% more, how many books does Pete read across both years if Matt read 75 books in his second year? | tiger_lab_math | [
0.029927460476756096,
-0.004822810646146536,
-0.033432736992836,
-0.057398006319999695,
0.014105829410254955,
-0.0367719866335392,
-0.03941627964377403,
0.031229853630065918,
0.020427357405424118,
-0.023083370178937912,
0.0032386030070483685,
0.003989235032349825,
-0.056351326406002045,
-0... | 0.784698 | 0.804655 | -0.019958 |
A manufacturing company produces two types of products A and B. The profit for each product A is $5 and for product B is $7. For the production of each product A requires 5 kg of material and 7 kg of material for product B. The available material is 250 kg. The company wants to maximize profit, assuming that all produc... | tiger_lab_math | [
0.009245460852980614,
0.014190804213285446,
-0.05802081525325775,
-0.015483858995139599,
0.016326460987329483,
-0.026928037405014038,
-0.059386491775512695,
0.08297689259052277,
0.022939175367355347,
-0.010619597509503365,
-0.0013033610302954912,
0.04024723917245865,
-0.02681485190987587,
... | 0.80111 | 0.790115 | 0.010994 |
Mabel is counting sharks in the ocean. She knows that of the fish that she sees, 25% will be sharks and 75% will be another type of fish. On day one she counts 15 fish. On day 2 she counts three times as many. How many sharks did she count over those two days? | tiger_lab_math | [
0.025410611182451248,
-0.004702373873442411,
-0.05732892453670502,
-0.036867547780275345,
0.03392278403043747,
-0.021896935999393463,
-0.028418755158782005,
0.05830115079879761,
0.02096637710928917,
-0.015228320844471455,
0.0062461732886731625,
0.023348655551671982,
-0.03760186955332756,
-... | 0.823352 | 0.827993 | -0.004642 |
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 35 cents less than the price of commodity Y?
Answer Choices: (A) ... | tiger_lab_math | [
0.003152580000460148,
0.01830044947564602,
-0.04510278254747391,
-0.0266939178109169,
0.024837449193000793,
-0.04369473084807396,
-0.030694767832756042,
0.09052211046218872,
0.054858312010765076,
-0.008993544615805149,
0.017248207703232765,
0.026627246290445328,
-0.05841611698269844,
-0.00... | 0.801254 | 0.820321 | -0.019068 |
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 3 people play both cricket and football. How many people play only cricket?
Answer Choices: (A) 11 (B) 4 (C) 5 (D) 3 ... | tiger_lab_math | [
0.013154932297766209,
-0.008481133729219437,
-0.038785845041275024,
-0.027678728103637695,
0.05247362330555916,
-0.04447108134627342,
-0.03252820298075676,
0.025288015604019165,
0.04308661073446274,
-0.02251107431948185,
0.01748509146273136,
0.058148302137851715,
-0.03395681828260422,
-0.0... | 0.785964 | 0.812059 | -0.026095 |
Rylee is bored and decides to count the number of leaves falling off the tree in her backyard. 7 leaves fall in the first hour. For the second and third hour, the leaves fall at a rate of 4 per hour. What is the average number of leaves which fell per hour? Please respond by writing a program in Python. | tiger_lab_math | [
0.010155870579183102,
0.021997062489390373,
-0.04138750210404396,
-0.034961599856615067,
0.040270525962114334,
-0.027547676116228104,
-0.03228675574064255,
0.04462173208594322,
0.03587399050593376,
-0.007707591634243727,
0.023815995082259178,
-0.002752450294792652,
-0.04221507906913757,
0.... | 0.794842 | 0.811317 | -0.016475 |
Find the sum of first 26 natural numbers
Answer Choices: (A) 470 (B) 468 (C) 465 (D) 351 (E) 485 | tiger_lab_math | [
0.013830404728651047,
0.001312481937929988,
-0.01370249968022108,
-0.04052816331386566,
0.044919222593307495,
-0.036366578191518784,
-0.01787886768579483,
0.044939711689949036,
0.03640943765640259,
0.0004846674855798483,
0.03606683015823364,
0.033540621399879456,
-0.05220317468047142,
-0.0... | 0.808809 | 0.840607 | -0.031798 |
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